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Finding the Third Proportional to 47,064 and 68,044.50

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Solution

The third proportional to 47,064 and 68,044.50 is: 98,377.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,064 : 68,044.50 = 68,044.50 : x
  2. Step 2: Convert to fraction form
    47,064/68,044.50 = 68,044.50/x
  3. Step 3: Cross multiply
    47,064x = 68,044.50 × 68,044.50
  4. Step 4: Simplify right side
    47,064x = 4,630,053,980.25
  5. Step 5: Solve for x
    x = 4,630,053,980.25/47,064
  6. Step 6: Final answer
    x = 98,377.83

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.